On the Block Numerical Range of Nonnegative Matrices

DOI10.1007/978-3-7643-8911-6_6zbMath1159.15306OpenAlexW33483911MaRDI QIDQ3613523

N. Hartanto, Karl-Heinz Förster

Publication date: 12 March 2009

Published in: Spectral Theory in Inner Product Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8911-6_6

zbMATH Keywords

Perron-Frobenius theoryirreducible matricesblock numerical rangeWielandt's lemmanonnegative square matrices

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (4)

On the block numerical range of operators on arbitrary Banach spaces ⋮ The numerical range of positive operators on Hilbert lattices ⋮ The numerical range of positive operators on Banach lattices ⋮ Unnamed Item

Cites Work

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• A primer of Perron--Frobenius theory for matrix polynomials
• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
• Perron-Frobenius type results on the numerical range
• The numerical range of a nonnegative matrix
• Companion matrices: Reducibility, numerical ranges and similarity to contractions
• On spectra of expansion graphs and matrix polynomials
• Matrix Analysis
• The Numerical Radius of a Nilpotent Operator on a Hilbert Space
• Numerical Range of Matrix Polynomials
• The Block Numerical Range of an n × n Block Operator Matrix

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